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Finding the Fourth Proportional to 18,149.76, 27,243.72 and 16,083

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Solution

The fourth proportional to 18,149.76, 27,243.72 and 16,083 is: 24,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,149.76 : 27,243.72 = 16,083 : x
  2. Step 2: Convert to fraction form
    18,149.76/27,243.72 = 16,083/x
  3. Step 3: Cross multiply
    18,149.76x = 27,243.72 × 16,083
  4. Step 4: Simplify right side
    18,149.76x = 438,160,748.76
  5. Step 5: Solve for x
    x = 438,160,748.76/18,149.76
  6. Step 6: Final answer
    x = 24,141.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.